2627413401 has 24 divisors (see below), whose sum is σ = 3717855552. Its totient is φ = 1649224800.

The previous prime is 2627413387. The next prime is 2627413447. The reversal of 2627413401 is 1043147262.

2627413401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2627413401 - 2⁶ = 2627413337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2627412401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94356 + ... + 118986.

It is an arithmetic number, because the mean of its divisors is an integer number (154910648).

Almost surely, 2^2627413401 is an apocalyptic number.

It is an amenable number.

2627413401 is a deficient number, since it is larger than the sum of its proper divisors (1090442151).

2627413401 is a wasteful number, since it uses less digits than its factorization.

2627413401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24733 (or 24702 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2627413401 is about 51258.3008009435. The cubic root of 2627413401 is about 1379.8847136416.

The spelling of 2627413401 in words is "two billion, six hundred twenty-seven million, four hundred thirteen thousand, four hundred one".